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Simplifying -58 + 13x = 11x + 22 Reorder the terms: -58 + 13x = 22 + 11x Solving -58 + 13x = 22 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -58 + 13x + -11x = 22 + 11x + -11x Combine like terms: 13x + -11x = 2x -58 + 2x = 22 + 11x + -11x Combine like terms: 11x + -11x = 0 -58 + 2x = 22 + 0 -58 + 2x = 22 Add '58' to each side of the equation. -58 + 58 + 2x = 22 + 58 Combine like terms: -58 + 58 = 0 0 + 2x = 22 + 58 2x = 22 + 58 Combine like terms: 22 + 58 = 80 2x = 80 Divide each side by '2'. x = 40 Simplifying x = 40
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